Postprocessing of Continuous Galerkin Solutions for Delay Differential Equations with Nonlinear Vanishing Delay

Abstract

In this paper we propose several postprocessing techniques to accelerate the convergence of the continuous Galerkin solutions for delay differential equations with nonlinear vanishing delay. They are interpolation postprocessings (including integration type, Lagrange type, and\r polynomial preserving recovery type) and iteration postprocessing. The theoretical expectations\r are confirmed by numerical experiments.